Writing equations in 2 variables 6.A.1.2

Front

What is an equation in two variables?

Back

An equation that involves two different variables, typically represented as x and y, such as y = mx + b.

Front

What does the x-axis represent in a graph?

Back

The x-axis represents the independent variable in a graph.

Front

What does the y-axis represent in a graph?

Back

The y-axis represents the dependent variable in a graph.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) indicates the steepness of the line and the direction it goes.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you determine if an ordered pair is a solution to an equation?

Back

Substitute the x-value into the equation and see if the resulting y-value matches the y-value of the ordered pair.

Front

What is the equation for a line with a slope of 1 and a y-intercept of -3?

Back

y = x - 3.

Front

What is the equation for a line with a slope of 3 and a y-intercept of 0?

Back

y = 3x.

Front

What does it mean for two variables to be directly proportional?

Back

If one variable increases, the other variable increases at a constant rate, represented by the equation y = kx.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.